Question

The expression (50x³-60x²+10x)/ 10x is equivalent to

Answer 1

The expression 50x³ - 60x² + 10x / 10x is equivalent to 5x² - 6x + 1.

Step-by-step explanation:

To simplify the given expression, we can divide each term in the numerator by the denominator.

`\[ 50x³ / 10x - 60x² / 10x + 10x / 10x \]`

Simplifying each term, we get 5x² - 6x + 1. This is derived by dividing each term in the numerator by 10x, which cancels out the common factor in each term. Therefore, the simplified expression is 5x² - 6x + 1.

Understanding how to simplify expressions is fundamental in algebra. Dividing each term by a common factor helps eliminate redundancies and represent the expression in its simplest form. In this case, the final expression 5x² - 6x + 1 provides a more concise representation of the original expression, making it easier to work with in various algebraic operations.

In summary, the simplified expression 5x² - 6x + 1 is equivalent to the given expression 50x³ - 60x² + 10x / 10x.